English

Self-similar tiling systems, topological factors and stretching factors

Dynamical Systems 2007-12-31 v1

Abstract

In this paper we prove that if two self-similar tiling systems, with respective stretching factors λ1\lambda_1 and λ2\lambda_2, have a common factor which is a non periodic tiling system, then λ1\lambda_1 and λ2\lambda_2 are multiplicatively dependent.

Keywords

Cite

@article{arxiv.0712.4334,
  title  = {Self-similar tiling systems, topological factors and stretching factors},
  author = {Maria Isabel Cortez and Fabien Durand},
  journal= {arXiv preprint arXiv:0712.4334},
  year   = {2007}
}